Robust Reliable H&amp;gt;inf&amp;lt;&amp;#8734;&amp;gt;/inf&amp;lt;Control for Uncertain Stochastic Systems with Time-varying delays

Zhang, P.; Fu, Yanming; Duan, Guang‐Ren

doi:10.1109/icca.2005.1528113

Cited by 1 publication

(1 citation statement)

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“…Based on H ∞ theory of time-delay systems, robust reliable control design for linear time-delay systems was proposed in [6]. In [7], a sufficient condition for the problem of stochastically reliable H ∞ control for a class of nonlinear uncertain stochastic systems with time-varying delays and actuator failures was established. It is noted that, the above reliable controller design methods are all based on the assumption that control component failures are modeled as outages, i.e., when a failure occurs, the signal (in the case of sensors) or the control action (in the case of actuators) simply becomes zero.…”

Section: Introductionmentioning

confidence: 99%

Robust reliable H-infinity control for nonlinear uncertain stochastic time-delay systems with Markovian jumping parameters

Xia

Zou

2008

J. Control Theory Appl.

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This paper deals with the problems of robust reliable exponential stabilization and robust stochastic stabilization with H-infinity performance for a class of nonlinear uncertain time-delay stochastic systems with Markovian jumping parameters. The time delays are assumed to be dependent on the system modes. Delay-dependent conditions for the solvability of these problems are obtained via parameter-dependent Lyapunov functionals. Furthermore, it is shown that the desired state feedback controller can be designed by solving a set of linear matrix inequalities. Finally, the simulation is provided to demonstrate the effectiveness of the proposed methods.

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Section: Introductionmentioning

confidence: 99%